Definition of a supplementary angle: an angle that is supplementary to another angle is an angle in which the sum of both angles forms a straight line or 180 degrees.
Definition of a right angle: an angle whose measure is 90 degrees.
Using these terms, let's put them into an equation.
Right angle + Supplementary angle = 180.
90 + Supplementary angle = 180.
Subtract 90 from both sides.
Supplementary angle = 180 - 90
Supplementary angle = 90 degrees.
Alternatively, you can think that two right angles are equivalent to a straight line and that all right angles are congruent and therefore; their supplementary angles are also congruent.
A right angle.
A right angle.
No. In fact, they never are. A right angle by definition is 90 degrees. An obtuse angle is any degree greater than 90. In order for two angles to be supplementary, they must equal 180 degrees. Because an obtuse angle is always greater than 90 degrees, and a right angle is always 90 degrees, an obtuse angle and a right angle can never be supplementary.
2 right angles will form a supplementary angle of 180 degrees
Right angle, obtuse angle, acute angle, supplementary angle, complementary angle, interior angle, exterior angle, adjacent angle
A right angle.
A right angle
A right angle.
no
Yes.
90 degrees.
No. In fact, they never are. A right angle by definition is 90 degrees. An obtuse angle is any degree greater than 90. In order for two angles to be supplementary, they must equal 180 degrees. Because an obtuse angle is always greater than 90 degrees, and a right angle is always 90 degrees, an obtuse angle and a right angle can never be supplementary.
That is correct.
2 right angles will form a supplementary angle of 180 degrees
It is another right angle of 90 degrees because supplementary angles add up to 180 degrees.
Every pair of supplementary angles includes one obtuse angle?
It is another right angle of 90 degrees because supplementary angles add up to 180 degrees.